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  1. 1984-Hays-CompartmentModelsForHumanIodineMetabolism

    07 Mar 2018 | Potential Scenario Ideas | Contributor(s): Marguerite Hays

    Hays, Marguerite. 1984. Compartmental Models for Human Iodine Metabolism. Mathematical  Biosciences. 73: 317-335.ABSTRACT: Compartmental models for the various aspects of human iodine metabolism are reviewed, emphasizing the role of Mones Berman in the development of this field. The review...

  2. 2017-Agmour EtAl-OptimizationofFishermenProfitsExploitingCompetingSpecies

    07 Mar 2018 | Potential Scenario Ideas | Contributor(s): Imane Agmour, Meriem Bentounsi, Naceur Achtaich, Youssef El Foutayeni

    Imane Agmour, Meriem Bentounsi, Naceur Achtaich, and Youssef El Foutayeni. 2017. Optimization of the Two Fishermen’s Profits Exploiting Three Competing Species Where Prices Depend on Harvest. International Journal of Differential Equations. Volume 2017, Article ID 3157294, 17...

  3. 2017-Allali-MathModelingOfAdaptiveImmunieResponses-HBVInfection

    07 Mar 2018 | Potential Scenario Ideas | Contributor(s): Karam Allali, Adil Meskaf, Abdessamad Tridane

    Karam Allali, Adil Meskaf, and Abdessamad Tridane. 2018. Mathematical Modeling of the Adaptive Immune Responses in the Early Stage of the HBV Infection. International Journal of Differential Equations. Volume 2017, Article ID 6710575, 13 pagesThis is an open access article distributed under the...

  4. 2017-Suebcharoen-PredatorPreyModelWithSwitchingForPredator

    07 Mar 2018 | Potential Scenario Ideas | Contributor(s): T. Suebchareon

    Suebcharoen, T. 2017. Analysis of a Predator-Prey Model with Switching and Stage-Structure for Predator. International Journal of Differential Equations. Volume 2017, Article ID 2653124, 11 pages.This is an open access article distributed under the Creative Commons Attribution License, which...

  5. 2017-Rumbos-DifferentialEquaitonsANDModeling-LectureNotes

    03 Mar 2018 | Potential Scenario Ideas | Contributor(s): Adolfo J. Rumbos

    Rumbos, Adolfo J. 2017. Differential Equations and modeling. Lecture Notes. 129 pp.From the PrefaceDifferential equations are ubiquitous in the sciences. The study of any phenomenon in the physical or biological sciences, in which continuity and differentiability assumptions about the quantities...

  6. FirstOrderModels

    03 Mar 2018 | Potential Scenario Ideas | Contributor(s): Unknown

    Modeling with First Order EquationsMathematical models characterize physical systems, often using differential equations.Model Construction: Translating physical situation into mathematical terms. Clearly state physical principlesbelieved to govern process. Differential equation is a...

  7. LeakingBucket: Differential Equations in Engineering

    03 Mar 2018 | Potential Scenario Ideas | Contributor(s): Unknown

    Differential Equations in Engineering: The Leaking Bucket. Laboratory Experiment. 4 pp.From the Text:7.1 Laboratory ObjectiveThe objective of this laboratory is to learn about first order differential equations and theirapplication to a leaking bucket. 7.2 Educational ObjectivesAfter...

  8. 2015-Sivakumar-Rajendran-KineticModel-BananaWaste

    03 Mar 2018 | Potential Scenario Ideas | Contributor(s): Pavithra Sivakumar, Lakshmanan Rajendran

    Sivakumar, Pavithra and  Lakshmanan Rajendran. 2012.  Approximate Analytical Expression of Concentrations in a Kinetic Model for Biogas Generation from Banana Waste. Applied Mathematics. 5(1): 7-14.Abstract: The initial value problem in a kinetic model for biogas generation from...

  9. 2016-Camporesi-Impulsive response method using factorization.

    03 Mar 2018 | Potential Scenario Ideas | Contributor(s): Roberto Camporesi

    Camporesi, Roberto. 2016. A fresh look at linear ordinary differential equations with constant coefficients. Revisiting theimpulsive response method using factorization. Int. J. Math. Educ. Sci. Technol. 47(1): 82-99Summary: We present an approach to the impulsive response method for solving...

  10. The Logistic Differential Equation

    03 Mar 2018 | Potential Scenario Ideas

    The Logistic Differential Equation. Notes. 7 pp.Goals from the notes:• MATH: To analyze the behavior of solutions of an ordinary differential equation geometrically .• MATH: To analyze stability behavior of equilibria of an ordinary differential equation geometricallyand...

  11. Herman, Russell L. 2017. A First Course in Differential Equations for Scientists and Engineers

    03 Mar 2018 | Free Online Texts | Contributor(s): Russell L. Herman

    Herman, Russell L. 2017. A First Course in Differential Equations for Scientists and Engineers. Text book. 369 pp. http://people.uncw.edu/hermanr/mat361/ODEBook/ODE1.pdf . Accessed 2 March 2018.This is a self-published text book with excellent coverage and solid mathematics and theory to support...

  12. 2007-Bellomo EtAl-LectureNotes-MathModelingInAppliedScience

    03 Mar 2018 | Potential Scenario Ideas | Contributor(s): Nicola Bellomo

    Bellomo, Nicola , Elena De Angelis, and Marcello Delitala. 2007.  Lecture Notes on Mathematical Modelling in Applied Sciences, Lecture Notes. 168 pp.From the Opening of the Notes:The Lecture Notes collected in this book refer to a university course delivered at the Politecnico of Torino to...

  13. Hohenauer-Physical modelling based on first order ODEs

    03 Mar 2018 | Potential Scenario Ideas | Contributor(s): W. Hohenauer

    Hohenauer, W.  Physical modelling based on first order ODEs. Notes. 22 pp.http://www.phox.at/upload/Physical%20modelling%20based%20on%20first%20order%20ODEs%20(v1.3).pdf . Accessed 3 March 2018.Abstract:  An introduction in techniques to solve first order ODE´s is given....

  14. 2003-RasmussenKeynes-LinesOfEigenVectorsSolutionsToSytemsOfLinearDifferentialEquations

    03 Mar 2018 | Potential Scenario Ideas | Contributor(s): Chris Rasmussen, Michael Keynes

    Rasmussen, Chris and  Michael Keynes. 2003. Lines of Eigenvectors and Solutions to Systems of Linear Differential Equations.  PRIMUS. 13(4): 308-320.Abstract: The purpose of this paper is to describe an instructional sequence where students invent a method for locating lines of...

  15. 2011-Gaff EtAl-OptimalControlManagementTickBorneDisease

    03 Mar 2018 | Potential Scenario Ideas | Contributor(s): Holly D. Gaff

    Gaff, Holly D., Elsa Schaefer, and Suzanne Lenhart. 2011. Use of optimal control models to predict treatment time for managing tick-borne disease. Journal of Biological Dynamics. 5(5): 517-530Abstract:  Tick-borne diseases have been on the rise recently, and correspondingly, there is an...

  16. LionAntelopeChasing

    03 Mar 2018 | Potential Scenario Ideas | Contributor(s): Unknown

    Lion chases down an Antelope (source unknown)From the document,“Suppose an antelope is running along a straight path at a constant speed k. Without loss of generality suppose he is running along the x axis.“A lion starts chasing the antelope at a speed 2k in such a way that the...

  17. 2009-Das EtAl BioeconomicHarvesting-JBioDynamics

    03 Mar 2018 | Potential Scenario Ideas | Contributor(s): Tapasi Das

    Das, Tapasi, R. N. Mukherjee, and K. S. Chaurhur. 2009. Bioeconomic harvesting of a pre-predator fishery. Journal of Biological Dynamics. 3(5): 447-462.Abstract: This paper deals with the problem of non-selective harvesting of a prey–predator system by using a reasonable catch-rate...

  18. Approximating cosine and sine functions numerically

    01 Mar 2018 | Articles and Publications | Contributor(s): Hans Rudolf Schneebeli

    Abstract:How can function values ​​for sine or cosine be quickly and reliably numerically estimated?  We consider equal circular motions on the unit circle in the complex plane and find sine and cosine as solutions of a differential equation. The two functions can be numerically...

  19. Two competing populations: simulations with differential equations

    01 Mar 2018 | Articles and Publications | Contributor(s): Hans Rudolf Schneebeli, Claudio Marsan

    Abstract: Suppose two populations are competing with each other. How can they then develop? We offer insights with simulation calculations. In the model is the evolution of the biomass of the two populations described with differential equations. A fundamental building block is the logistic...

  20. Population Modeling

    01 Mar 2018 | Articles and Publications | Contributor(s): Hans Rudolf Schneebeli, Claudio Marsan

    This paper offers many problems inolving a single population model while introducing several specific models. Both numerical methods and qualitative anlyses are offered.The paper is in German and is entitled, "Populationsmodelle: Eine Einführung in Differentialgleichungen."Hans R....